Finite Group Databasebeta

← Group #13162009

Character table — Group #13162009

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181818181818181818181818363636363636363636363636727272727272727272
order12223334466666666633333666666666666666121212121212412121212121212121212121212121212121212121212121212121212121212121212121244448888888812121212242424242424242422466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-20000000000000000000022-2-20000000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-22200000000-2-22200000000000000000
χ11222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000200-1-10000
χ12222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000-200110000
χ13222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111222200000000-1-1-1-100000000-200110000
χ14222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-200000000111100000000200-1-10000
χ15222222-1-2-222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000−i3i300-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i322-2-200000000-1-11100000000000−i3i30000
χ16222222-1-2-222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000−i3i300-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-2220000000011-1-100000000000i3−i30000
χ17222222-1-2-222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000i3−i300-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-2-200000000-1-11100000000000i3−i30000
χ18222222-1-2-222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000i3−i300-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-2220000000011-1-100000000000−i3i30000
χ1922222-122222-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1000002000-1-100
χ2022222-122222-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000111100000-20001100
χ2122222-122222-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12-211-2-2-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-21111110000222200000000-1-1-1-100000-20001100
χ2222222-122222-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12-211-2-2-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-21111110000-2-2-2-2000000001111000002000-1-100
χ232222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000222200000000-1-1-1-10020000-1-1
χ242222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-200000000111100-2000011
χ252222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100000000222200000000-1-1-1-100-2000011
χ262222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100000000-2-2-2-20000000011110020000-1-1
χ2722-2-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000002i−2i−i2−i2i2i222−2−2002i−2i−i2−i2i2i222−2−2000000000
χ2822-2-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000002i−2ii2i2−i2−i2−2−222002i−2ii2i2−i2−i2−2−222000000000
χ2922-2-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000000−2i2i−i2−i2i2i2−2−22200−2i2i−i2−i2i2i2−2−222000000000
χ3022-2-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000000−2i2ii2i2−i2−i222−2−200−2i2ii2i2−i2−i222−2−2000000000
χ312-22-222200-22-22-2-2-22-222222-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000002i−2i00−i2i2−i2i22−22−22i−2i00−i2i2−i2i22−22−2000000000
χ322-22-222200-22-22-2-2-22-222222-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000002i−2i00i2−i2i2−i2−22−222i−2i00i2−i2i2−i2−22−22000000000
χ332-22-222200-22-22-2-2-22-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000−2i2i00−i2i2−i2i2−22−22−2i2i00−i2i2−i2i2−22−22000000000
χ342-22-222200-22-22-2-2-22-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000−2i2i00i2−i2i2−i22−22−2−2i2i00i2−i2i2−i22−22−2000000000
χ352-2-222222-2-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-22222222-2-2-2200000002-22-22-222-2-200000000000000000000000000002-2-22000000002-2-22000000000
χ362-2-222222-2-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-22222222-2-2-2200000002-22-22-222-2-20000000000000000000000000000-222-200000000-222-2000000000
χ372-2-22222-22-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-2222-20000000-22-22-22-2-2220000000000000000000000002-2-22000000002-2-220000000000000
χ382-2-22222-22-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-2222-20000000-22-22-22-2-222000000000000000000000000-222-200000000-222-20000000000000
χ392-2-222-12-22-2-211-12-2-22-12-1-1-111-2-2111111-12-1-1-11-222-1-20−i3i300001-1-221-111-1-1−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300002-2-2200000000-111-1000000000−i3i300
χ402-2-222-12-22-2-211-12-2-22-12-1-1-111-2-2111111-12-1-1-11-222-1-20−i3i300001-1-221-111-1-1−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i30000-222-2000000001-1-11000000000i3−i300
χ412-2-222-12-22-2-211-12-2-22-12-1-1-111-2-2111111-12-1-1-11-222-1-20i3−i300001-1-221-111-1-1i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300002-2-2200000000-111-1000000000i3−i300
χ422-2-222-12-22-2-211-12-2-22-12-1-1-111-2-2111111-12-1-1-11-222-1-20i3−i300001-1-221-111-1-1i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i30000-222-2000000001-1-11000000000−i3i300
χ432-2-22-1222-211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000−i3i3-11-112-2-1-111−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000002-2-2200000000-111-10000000−i3i3
χ442-2-22-1222-211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000−i3i3-11-112-2-1-111−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300000000-222-2000000001-1-110000000i3−i3
χ452-2-22-1222-211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000i3−i3-11-112-2-1-111i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000002-2-2200000000-111-10000000i3−i3
χ462-2-22-1222-211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000i3−i3-11-112-2-1-111i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300000000-222-2000000001-1-110000000−i3i3
χ4744444-24-4-444-2-2-24444-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-22-4-4-42-4000000022-4-422222200000000000000000000000000000000000000000000000000000
χ4844444-2-24444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111-2-2-24-244-2-2-2-244-2-2-2-2111111-2-2-2-2-2-2111111-2-2111111000000000000000000000000000000000
χ4944444-2-24444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111-2-2-24-24-42222-4-4-2-2-2-2111111222222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000
χ5044444-2-2-4-444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111222-42-4000−2i32i3002222-1-1-1-1-1-10000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000
χ5144444-2-2-4-444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111222-42-40002i3−2i3002222-1-1-1-1-1-100002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000000000
χ524444-244-4-4-2-2444444-2-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-2-4-4-42-4200000002222-4-4222200000000000000000000000000000000000000000000000000000
χ534444-24-244-2-2444-2-2-2-2-21-211-2-211-2-21111-21-2114-2-2-24-2444-2-2-2-2-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000000000
χ544444-24-244-2-2444-2-2-2-2-21-211-2-211-2-21111-21-2114-2-2-24-2-4-4-42222-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ554444-24-2-4-4-2-2444-2-2-2-2-21-211-2-211-2-21111-21-211-4222-42000−2i32i30022-1-122-1-1-1-10000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000000000
χ564444-24-2-4-4-2-2444-2-2-2-2-21-211-2-211-2-21111-21-211-4222-420002i3−2i30022-1-122-1-1-1-10000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000000000
χ574444-2-2444-2-2-2-2-2444-21-2-21111-2-2-2-211111-2-211-244-2-2-24-2-244-2-211-2-2-2-211111111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
χ584444-2-2444-2-2-2-2-2444-21-2-21111-2-2-2-211111-2-211-244-2-2-2-422-4-42211-2-2-2-21111-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ594444-2-24-4-4-2-2-2-2-2444-21-2-21111-2-2-2-211111-2-2112-4-42220000000-1-12222-1-1-1-13-3-3300003-3-3300003-3-33000000000000000000000000000000000
χ604444-2-24-4-4-2-2-2-2-2444-21-2-21111-2-2-2-211111-2-2112-4-42220000000-1-12222-1-1-1-1-333-30000-333-30000-333-3000000000000000000000000000000000
χ614444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ624444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000000000000000
χ634444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ644444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000000000000000
χ654444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222000−2i32i300-1-1-1-1-1-11+3i321−3i321+3i321−3i323-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000000000
χ664444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222220002i3−2i300-1-1-1-1-1-11+3i321−3i321+3i321−3i32-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32000000000000000000000000000000000
χ674444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222000−2i32i300-1-1-1-1-1-11−3i321+3i321−3i321+3i32-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000000000
χ684444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222220002i3−2i300-1-1-1-1-1-11−3i321+3i321−3i321+3i323-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32000000000000000000000000000000000
χ6944-4-444-2004-44-4-42-22-44-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000004i−4i0000000000−2i2i00000000000000000
χ7044-4-444-2004-44-4-42-22-44-2-2-2-24-4-22-22-2-222-42222000000000000000000000000000000000000000000000−4i4i00000000002i−2i00000000000000000
χ7144-4-44-24004-4-222-44-4-4-24-2-2-2-224-4-22-2-2222-422200000000000000000000000000000000000000000000000−2i2−2i22i22i200000000i2i2−i2−i20000000000000
χ7244-4-44-24004-4-222-44-4-4-24-2-2-2-224-4-22-2-2222-4222000000000000000000000000000000000000000000000002i22i2−2i2−2i200000000−i2−i2i2i20000000000000
χ7344-4-4-24400-224-4-4-44-42-2-24-2-2-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000002222−22−2200000000−2−222000000000
χ7444-4-4-24400-224-4-4-44-42-2-24-2-2-22-224-4-2-22222-422000000000000000000000000000000000000000000000000000−22−2222220000000022−2−2000000000
χ754-44-444-200-44-44-422-2-44-2-2-2-2-442-22-222-2-2-4222200000000000000000000000000000000000000000004i−4i0000000000−2i2i0000000000000000000
χ764-44-444-200-44-44-422-2-44-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000−4i4i00000000002i−2i0000000000000000000
χ774-44-44-2400-442-22-4-44-4-24-2-2-22-2-442-222-2-22-422200000000000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i20000000000000
χ784-44-44-2400-442-22-4-44-4-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i20000000000000
χ794-44-4-244002-2-44-4-4-442-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000022−2222−2200000000−22−22000000000
χ804-44-4-244002-2-44-4-4-442-2-24-2-22-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000−2222−2222000000002−22−2000000000
χ814-4-4444-24-4-4-4-4-44-22244-2-2-2-2-4-4222222224-2-2-2-24-22-4-4400000004-4-22-22-2-22200000000000000000000000000000000000000000000000000000
χ824-4-4444-2-44-4-4-4-44-22244-2-2-2-2-4-4222222224-2-2-2-2-42-244-40000000-442-22-222-2-200000000000000000000000000000000000000000000000000000
χ834-4-444-244-4-4-422-24-4-44-24-2-2-222-4-4222222-24-2-2-2-24-4-4240000000-224-4-22-2-22200000000000000000000000000000000000000000000000000000
χ844-4-444-2-24-4-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-2111-2-22-4240000000-22-221-111-1-10000003-333-3-300-33-3-333000000000000000000000000000000000
χ854-4-444-2-24-4-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-2111-2-22-4240000000-22-221-111-1-1000000-33-3-333003-333-3-3000000000000000000000000000000000
χ864-4-444-2-2-44-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-211122-24-2-40−2i32i300002-22-2-11-1-111−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000000000000000000000000000000
χ874-4-444-2-2-44-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-211122-24-2-402i3−2i300002-22-2-11-1-1112i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000000000000000000000000000000
χ884-4-44-244-4422-4-444-4-4-2-2-24-2-22222-4-42222-2-24-2-2-4-44-24200000002-22-2-4422-2-200000000000000000000000000000000000000000000000000000
χ894-4-44-24-24-422-4-44-222-2-21-21122-1-122-1-1-1-1-21-2114-222-4-200000−2i32i3-221-1-2211-1-1−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000000
χ904-4-44-24-24-422-4-44-222-2-21-21122-1-122-1-1-1-1-21-2114-222-4-2000002i3−2i3-221-1-2211-1-12i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000000
χ914-4-44-24-2-4422-4-44-222-2-21-21122-1-122-1-1-1-1-21-211-42-2-24200000002-2-112-2-1-11100003-3003-33-3-3300-33-33000000000000000000000000000000000
χ924-4-44-24-2-4422-4-44-222-2-21-21122-1-122-1-1-1-1-21-211-42-2-24200000002-2-112-2-1-1110000-3300-33-333-3003-33-3000000000000000000000000000000000
χ934-4-44-2-244-42222-24-4-4-21-2-211-1-12222-1-1-1-11-2-211-24-422-200000−2i32i31-1-22-2211-1-1i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000
χ944-4-44-2-244-42222-24-4-4-21-2-211-1-12222-1-1-1-11-2-211-24-422-2000002i3−2i31-1-22-2211-1-1−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000
χ954-4-44-2-24-442222-24-4-4-21-2-211-1-12222-1-1-1-11-2-2112-44-2-220−2i32i30000-112-22-2-1-111i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ964-4-44-2-24-442222-24-4-4-21-2-211-1-12222-1-1-1-11-2-2112-44-2-2202i3−2i30000-112-22-2-1-111−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ974-4-44-2-2-24-42222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-200000−2i32i31-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000000000
χ984-4-44-2-2-24-42222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-2000002i3−2i31-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000000000
χ994-4-44-2-2-24-42222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-200000−2i32i31-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32000000000000000000000000000000000
χ1004-4-44-2-2-24-42222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-2000002i3−2i31-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000000000
χ1014-4-44-2-2-2-442222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-220−2i32i30000-11-11-111+3i321−3i32−1−3i32−1+3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000000000
χ1024-4-44-2-2-2-442222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-2202i3−2i30000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000000000
χ1034-4-44-2-2-2-442222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-220−2i32i30000-11-11-111−3i321+3i32−1+3i32−1−3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000000000
χ1044-4-44-2-2-2-442222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-2202i3−2i30000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000000000
χ10588-8-88-4-4008-8-4444-44-8-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-448-8-84-444-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4800-44-444-88-842-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-44-4444-444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-44-4444-444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-400-884-4444-4-8-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4004-4-88-844-44-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48004-44-44-8-8842-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4004-44-4444-44222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-44-4444-44222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).